It would take 10 months to equate the population of both the towns
Let the number of months required to equate the population of both the town( Town A and Town B) be x
This question can be solved using linear equations
So, town A's population would be current population adjusted with migration of people which is 42975-125x+150x
And town B's population would be current population adjusted with migration of people which is 45225 -200x
As at the end of x months the population of the two towns is equal, so equating both the linear equations
42975 -125x +150x = 45225-200x
Now solving the equation for x
150x-125x+200x= 45225-42975
225x=2250
Therefore x= 2250/225= 10
Hence it would take 10 months to equate the population of both the towns
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The scale for Karima's drawing is 2 cm to 5 m. Explain what this means in your own words.
Answer:
Step-by-step explanation:
It means she made a rectangle. 2cm wide, 5cm high.
Write as a numerical expression: the product of 2 and the difference of −2 and 8
Answer:
2(-2-8)
Step-by-step explanation:
The difference between -2 and 8 is -2-8. The product of 2 and the difference is (-2-8)*2 which is 2(-2-8).
Suppose that people who study very hard for the bar exam have an odds of 1.22 of passing the bar exam. what is the probability someone who studies very hard for the bar passe?
0.45 is the probability someone who studies very hard for the bar passe.
What is probability?
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.Odds of passing = 1.22 = p ( passing)/ P(not passing)
P(Pass)/P( fail) = 1.22
p (pass) = 1.22 p (fail)
P(pass) + P(fail) = 1
1.22 p (fail) + p(fail) = 1
2.22 p(fail) = 1
P (fail) = 0.4505 ≅ 0.45
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When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.
The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.
Define parabola and its types.
A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.
To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax
Now, the equation of parabola for the given situation is calculated as:
y=a(x-3)^2 +1.5
Now, put the value of x=0 and y=0.
0=a(0-3)^2+1.5
0=9 a+1.5
-9 a=1.5
a=-1.5 / 9
a=-1 / 6
Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:
y=-1/6 (x-3)^2 +1.5
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Add.
5/3 + 2/4
Please help!!!
Answer:
1 1/3 or 4/3
Step-by-step explanation:
order of operations
what is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)? (5 points) y 5
The equation of the line in point-slope form is: y - 5 = -x + 2.
What is the Equation of a Line in Point-slope Form?The equation of the line can be modelled as y - b = m(x - a), in point-slope form..
Given the following:
(2, 5) and (-1, 8), find the slope
Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)
Slope of the line (m) = 3/-3
Slope of the line (m) = -1
Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):
y - 5 = -1(x - 2)
y - 5 = -x + 2
Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.
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What is the fraction 9/5 x + 23 greater than or equal to -50 (negative 50)
Answer:
x [tex]\geq[/tex] -40.6
Step-by-step explanation:
9/5x + 23 [tex]\geq[/tex] -50 (subtract 23 over to other side)
9/5x [tex]\geq[/tex] -73 (multiply by 5)
9x [tex]\geq[/tex] -365 (divide by 9)
x [tex]\geq[/tex] -40.6
Seven times the sum of a number and 1
Use X as “Of a Number”
Answer:
7 (x + 1)
Hope this helps :)
Step-by-step explanation:
The equation above shows the statement, "Seven times the sum of a number and 1."
What is 1/5 of (-3, -2) to (1, 1)?
The point at 1/5 of the coordinate points is (-11/5, -7/5)
How to determine the point?The coordinates are given as:
(-3, -2) to (1, 1)?
The location 1/5 can be represented as
m : n = 1 : 4
The location of the point is then calculated as:
P = 1/5 * (mx2 + nx1, my2 + ny1)
This gives
P = 1/5 * (1 * 1 + 4 * -3, 1 * 1 + 4 * -2)
Evaluate
P = 1/5 * (-11, -7)
This gives
P = (-11/5, -7/5)
Hence, the point at 1/5 of the coordinate points is (-11/5, -7/5)
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BRAINLIEST ONLY GIVEN IF ANSWERED PROPERLY, WILL REPORT IF SPAM
Answer:
s/2πh
Step-by-step explanation:
dividing both sides by 2 will result in s/2 = πrh
dividing both sides by π will result in s/2π = rh
dividing both sides by h results in s/2πh = r
comment if you need further explanation
(no brainliest needed)
a rectangular prism w a square base with side length(x) and a height of length(y) has a surface area of 100 square feet
The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.
Which formula represents the volume of a rectangular prism?
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .Let x = the side of the square base and y = height
Let V = volume = x2y
The surface area = 2x2 + 4xy = 121.5
Solve the surface area equation for y = (121.5 - 2x2)/4x and substitute this into the volume equation
V = x2(121.5 - 2x2)/4x = x(121.5 - 2x2)/4
the derivative of V with respect to x = (x/4)(-2x) + (1/4)(121.5 - 2x2) = 0 at the maximum
(1/4)(-4x2 + 121.5 - 2x2) = 0'
6x2 = 121.5
x2 = 20.25
x = 4.5
y = (121.5 - 40.5)/(4 * 4.5) =81/18 = 4.5
The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.
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albert measured a house and its lot and made a scale drawing. the house's driveway is 3 inches wide in the drawing. the actual driveway is 15 feet wide. what is the scale of the drawing?
The scale of the drawing is 36 inches.
What is the conversion factor?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.So, it is given that the house's driveway is 3 inches wide in the drawing and the actual driveway is 15 feet wide.
As 1 foot = 12 inchesthen, 15 feet = 12(15) inches15 feet = 180 inchesAs 15 feet is 3 inches in drawing that is 15/5 = 3. (Given)Now, 180/5 = 36 inchesTherefore, the scale of the drawing is 36 inches.
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The correct question is given below:
Albert measured a house and its lot and made a scale drawing. The house's driveway is 3 inches wide in the drawing. The actual driveway is 15 feet wide. What is the scale of the drawing? 1 inch: feet
Select all the true statements.
1/2
3 4
#
5 6
8
A 23 22 because they are alternate interior angles.
OB. m21+ m23 = 180 because they form a straight angle.
C. 23 26 because they are alternate interior angles.
26 and mz1 + m23 = 180.
OD. 21 and 26 are supplementary because 23
OE 21 23 because they are vertical angles.
>
The true statements regarding this situation are as follows:
Angles 3 and 6 are congruent because they are alternate interior angles.Angles 1 and 3 add to 180º as they are straight angles.Angles 1 and 6 are supplementary.What is the missing information?The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)
What are the correct statements?The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.
Hence:
Angles 3 and 6 are congruent because they are alternate interior angles.
Straight angles are angles of 180º on a line, hence:
Angles 1 and 3 add to 180º as they are straight angles.
Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.
A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.
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A cube has a volume of 2197m3. Its surface is to be painted. Each can of paint covers about 40m2. How many cans of paint are needed? justify your answer.
The cans of paint that are needed is 25 cans.
How to calculate the value?It should be noted that the sides of the cube will be:
= 3✓2197
= 13
Each side is 13m
Therefore, the total surface area will be:
= 6s²
s = sides
= 6(13)²
= 1014m²
Therefore, the cans needed will be:
= 1014/40
= 25
Therefore, 25 cans are needed.
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Which expression simplifies to 2√/15?
The simplification of the number 2√15 is 7.74.
What is defined as taking square root?Squaring a number would be the inverse operation of square rooting it.
The square of a number is really the value obtained by multiplying the number by itself, whereas the square root of such a number is obtained by locating a number that, when squared, yields the original number. If 'a' has been the square root of 'b,' then a × a = b.A number's square root is the value of power 1/2 of such a number. In all the other phrases, it is the number for whom product yields the original number on its own. It is represented by the symbol '√ '. The square root sign is known as a radical, and the number beneath it is known as a radicand.The given expression is;
= 2√15
For finding the value of √15; use long division method.
√15 = 3.87
Put the value;
= 2 × 3.87
= 7.74.
Thus, the value of the expression is found as 7.74.
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Can you pls help me tink u <3
:Circle the part of the expression that you would complete first.
a. -4 x 32 + 6
b. 4(13 - 6)
c. 3 x (-2)^3 divide symbol 6
d. (6 + 2) - 15 divide symbol 5 x 2
e. 8 - 4(2 + 5^2) divide symbol 12
pls thx!
Can someone help plss
Answer:
See below
Step-by-step explanation:
Plug in each number for x to test each equation
X=1
Y=-3x + 22 = - 3(1) + 22 = 19
X=3
Y= -3(3) + 22 = - 9 + 22 = 13
And so on, if they match the y row, then it's the correct answer
During their break, Marcus and Kaelan visit the café for lunch. Marcus orders a bacon
cheeseburger, a large order of french fries and a small soft drink. Kaelan orders a chicken fajita
taco, cole slaw and a milkshake. Who spends more money? How much more does he spend?
Show your work
Answer: Kaelan spends more money. Kaelan spends 0.25 cents more.
Step-by-step explanation:please give brainliest if right.
Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5}.
5x – 2 ≥ 8
Question 3 options:
{2, 3, 4, 5}
{1}
{3, 4, 5}
{1, 2}
Answer:
The Ans. {2, 3, 4, 5}
Step-by-step explanation:
5x – 2 ≥ 8 when we will replace the given values{1, 2, 3, 4, 5} insted of X we get true solution set by {2, 3, 4, 5}
Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross multiplied to get 240 = 240. why is this? because the cross sums of the proportion are equal because the cross differences of the proportion are equal because the cross products of the proportion are equal because the cross quotients of the proportion are equal
Sonny get 240=240 because the cross products of the proportion are equal.
Proportion : Two ratios are said to be in proportion when the two ratios are equal.
For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by
[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].
According to the given question the equation can be written as
[tex]\frac{16}{x} =\frac{48}{15}[/tex]
Sonny substituted 5 for x in the proportion , the equation can be written as
[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]
Therefore , Sonny get 240=240 because the cross products of the proportion are equal.
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Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv
if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
What is Trig Identities?Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:
sin² t + cos² t = 1
According to the given data:For an angle t in Quadrant IV, we know sin t is positive.
From the trig identity sin² t + cos² t = 1
we can also write as:
sin t + cos t:
Now,
sin² t + cos² t = 1
sin² t = 1 - cos² t
sin t = ±√( 1 - cos² t)
As noted above,
sin t is positive for t in the Quadrant IV, and so we have
sin t = √( 1 - cos² t)
We know that
[tex]\cos t=\frac{1}{\sec t}[/tex]
So, the equation will be
[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
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Find the midpoint of the segment with the given endpoints.
(-5,-7) and (2,4)
Answer:
(-3/2 ; -3/2)
Step-by-step explanation:
Midpoint (x;y)
x = (x1+x2)÷2 = (-5+2)÷2 = -3/2
y = (y1+y2)÷2 = (-7+4)÷2 = -3/2
Therefore midpoint = (-3/2 ; -3/2)
100 points because I really need the answer to this soon
Simplify the expression [tex]\sqrt\frac{9x^{3}}{4y^{2}}[/tex]. Show your work
[tex]\bold{H \: e \: y \: o \: !}[/tex]
__________________
[tex]\mathtt{\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Apply radical rule: [tex]\mathtt{=\sqrt{\frac{a}{b}}} \: = \: \mathtt{\sqrt{\frac{a}{b}}},[/tex] assuming [tex]\mathtt{a \geq 0, \: b \: \leq 0}[/tex]
[tex]\mathtt{=\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{9x^3}} \: : \: \mathtt{3x\sqrt{x}}}[/tex]
[tex]\mathtt{=\sqrt{\frac{3x\sqrt{x}}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{4y^2}} \: : \: \mathtt{2y}[/tex]
[tex]\mathtt{\frac{3x\sqrt{x}}{2y}}[/tex]
Hope It Helps!
A n s w e r e d : - ᴀᴅʀɪᴀɴɴᴏɪʀ
Find the equation of a line which has a slope of 8 and crosses the y- axis at -3
Answer:
y = 8x - 3
Step-by-step explanation:
The point where the line crosses the y-axis is the y-intercept and the intercept we're looking for. We know the slope 8 and the intercept -3, so we can just provide the answer
[tex]\large\textsf{{Hi! In this problem we need to find the equation of a line}}\\\textsf{in slope-intercept form: \textbf{y=mx+b}, where \textbf{m} is the slope}\\\textsf{and \textbf{b} is the y-intercept}}.\\\\\\\\\textsf{The question provides us both the slope \& the y-intercept}\\\textsf{This means we can find the equation by}\\\textsf{plugging the numbers into the formula:}\\\\\textbf{y=mx+b}\\\\\textbf{y=8x+(-3)}\\\\\textbf{y=8x-3}\twoheadleftarrow\boldsymbol{Answer!}\ddot\smile[/tex]
Quelqu’un pourrait m’aider en urgence s’il vous plaît c’est pour demain je n’ai pas réussi pour le x=2 mais pour x=1 oui. Voici l’exercice
Exercice 2:
L'égalité 3x + 4 = 2x+5 est-elle vraie pour x = 2 ? Justifier la réponse.
• L'égalité 3x + 4 = 2x+5 est-elle vraie x = 1 ? Justifier la réponse.
La partie « Exercez-vous »
➺ Exercez-vous
Je m'appelle Catherine… elle est italienne… Il est
anglais. – Et vous, vous êtes française ? – Oui, je suis
française.
➺ Exercez-vous
« vous » entre adultes qui ne se connaissent pas (dessin du haut) – « tu » entre étudiants (dessin du
milieu) quand un adulte s'adresse à un enfant (dessin
du bas).
if you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?
As given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
As given,
Let x -1 , x , x +1 are three consecutive integers.
Sum of the squares of three consecutive integers
= (x -1)² +x² + (x+1)²
= x² -2x +1 +x² +x² +2x +1
=3x² +2
Now substitute x = 0,1,2,3,4,5,6,7,8,9
Sum = 2, 5,14,29, 50, 77, 110, 149, 194, 245
Four digit never occur at ones place = 1,3,6,8
Therefore, as given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
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Please help i will give brainly
Answer:
A. {-4, 2, 3, 8}
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values).
From inspection of the graph, the coordinates of the points are:
(-11, 2)(-3, -4)(2, 3)(5, -4)(8, 8)Therefore, the set of y-values is {-4, 2, 3, 8}. This is the range of the graphed function.
_____are collected from several entities at the same point in time.
a. cross-sectional data
b. time series data
c. random data
d. categorical and quantit
Cross sectional data are collected from several entities at the same point in time.
What is cross-sectional data?In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.
You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.
In conclusion, the correct option is A.
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Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
Answer:
Step 2
1 2/3 was converted as 5/2 instead of 5/3
Step-by-step explanation:
Each batch = 1 2/3
Total = 10 5/6
Number of batches
10 5/6 : 1 2/3 =
65/6 : 5/3 =
65/6 * 3/5 =
65/10 =
6.5
Solution by Janice:
10 5/6 : 1 2/3 =
65/6 : 5/2 =
65/6 * 2/5 =
130/30 =
4 1/3
Error made at step 2:
StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5
1 2/3 was converted as 5/2 instead of 5/3
the lifespans of gorillas in a particular zoo are normally distributed with a mean of 26 years and a standard deviation of 1.5 years. what is the probability that a gorilla will live longer than 26 years?
The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.
What is probability?Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
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